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Finding the Third Proportional to 10,232,004 and 22,103,432

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Solution

The third proportional to 10,232,004 and 22,103,432 is: 47,748,388.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232,004 : 22,103,432 = 22,103,432 : x
  2. Step 2: Convert to fraction form
    10,232,004/22,103,432 = 22,103,432/x
  3. Step 3: Cross multiply
    10,232,004x = 22,103,432 × 22,103,432
  4. Step 4: Simplify right side
    10,232,004x = 488,561,706,178,624
  5. Step 5: Solve for x
    x = 488,561,706,178,624/10,232,004
  6. Step 6: Final answer
    x = 47,748,388.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.